Sensitivity of Hopf bifurcations to power system parameters

Abstract

Formulas for the sensitivity of the Hopf loading margin with respect to any power system parameter are presented. These first-order sensitivities determine an optimum direction in parameter space for changing parameters to increase the loading margin. The Hopf bifurcation sensitivities of a simple power system with a voltage regulator and a dynamic load model are computed. Parameter sensitivities of the Hopf and saddle node bifurcations are compared. An idea for eliminating some Hopf bifurcations is presented.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>